3680139808800 has 2160 divisors, whose sum is σ = 16902330806592. Its totient is φ = 762769612800.

The previous prime is 3680139808727. The next prime is 3680139808801. The reversal of 3680139808800 is 88089310863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3680139808801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4676162007 + ... + 4676162793.

Almost surely, 2^{3680139808800} is an apocalyptic number.

3680139808800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680139808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451165403296).

3680139808800 is an abundant number, since it is smaller than the sum of its proper divisors (13222190997792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3680139808800 is a wasteful number, since it uses less digits than its factorization.

3680139808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 3680139808800 in words is "three trillion, six hundred eighty billion, one hundred thirty-nine million, eight hundred eight thousand, eight hundred".